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Soliton‐like regimes, echo and concave spiral waves in mathematical models of biological excitable media
Author(s) -
Mornev O.A.,
Aslanidi O.V.,
Tsyganov I.M.
Publication year - 2000
Publication title -
macromolecular symposia
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.257
H-Index - 76
eISSN - 1521-3900
pISSN - 1022-1360
DOI - 10.1002/1521-3900(200010)160:1<115::aid-masy115>3.0.co;2-h
Subject(s) - excitable medium , physics , soliton , spiral (railway) , reflection (computer programming) , nonlinear system , excitation , dynamics (music) , classical mechanics , mechanics , spiral wave , reaction–diffusion system , wave propagation , quantum electrodynamics , optics , acoustics , quantum mechanics , mathematical analysis , mathematics , computer science , programming language
On the basis of numerical simulations with partial reaction‐diffusion equations describing the dynamics of electrical processes in biological excitable tissues, such as a nerve axons and cardiac Purkinje fibers, we have revealed unusual – soliton‐like – regimes of interaction of propagating nonlinear excitation waves: reflection of the colliding waves instead of their annihilation. The specific nature of wave dynamics due to the reflection effects in two‐dimensional excitable media is considered.